平方可和变分与absolutely continuous谱
Square-summable variation and absolutely continuous spectrum
摘要：
Denisov和Kaluzhny-Shamis最近的结果描述了系数服从l^2有界变差条件且渐近周期的Jacobi矩阵的绝对连续谱。我们将这些结果推广到单位圆上的正交多项式。我们还取代了渐近周期性条件的较弱的条件收敛到一个等谱环面，p=1和p=2，我们甚至删除该条件。
英文摘要：
Recent results of Denisov and Kaluzhny-Shamis describe the absolutely continuous spectrum of Jacobi matrices with coefficients that obey an l^2 bounded variation condition with step p and are asymptotically periodic. We extend these results to orthogonal polynomials on the unit circle. We also replace the asymptotic periodicity condition by the weaker condition of convergence to an isospectral torus and, for p=1 and p=2, we remove even that condition.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
